{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# SDE - Heston model\n",
    "\n",
    "## Contents\n",
    "   - [Correlated Normal random variables](#sec1)\n",
    "   - [Heston model](#sec2)\n",
    "      - [Distribution of log-returns](#sec2.1)\n",
    "   - [Characteristic function](#sec3)\n",
    "      - [Option pricing](#sec3.1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import scipy as scp\n",
    "import scipy.stats as ss\n",
    "import matplotlib.pyplot as plt\n",
    "import scipy.special as scps\n",
    "from statsmodels.graphics.gofplots import qqplot\n",
    "from scipy.linalg import cholesky\n",
    "from functools import partial\n",
    "from FMNM.probabilities import Heston_pdf, Q1, Q2\n",
    "from FMNM.cython.heston import Heston_paths_log, Heston_paths\n",
    "from scipy.optimize import minimize\n",
    "\n",
    "from IPython.display import display\n",
    "import sympy\n",
    "\n",
    "sympy.init_printing()\n",
    "\n",
    "\n",
    "def display_matrix(m):\n",
    "    display(sympy.Matrix(m))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec1'></a>\n",
    "# Correlated Normal random variables"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In order to generate $n$ correlated Gaussian distributed random variables\n",
    "\n",
    "$$ Y \\sim \\mathcal{N}(\\mu, \\Sigma) $$\n",
    "\n",
    "where $Y=(𝑌_1,...,𝑌_n)$ is the vector to simulate, $\\mu = (\\mu_1,...,\\mu_n)$ the vector of means and $\\Sigma$\n",
    "the [covariance matrix](https://en.wikipedia.org/wiki/Covariance_matrix),\n",
    "\n",
    "1) we first need to simulate a vector of uncorrelated standard Normal random variables, $Z$\n",
    "\n",
    "2) then find a square root of $\\Sigma$, i.e. a matrix $C$ such that $C C^T = \\Sigma$.\n",
    "\n",
    "The vector is given by $$Y = \\mu + C Z .$$ \n",
    "\n",
    "A popular choice to calculate $C$ is the [Cholesky decomposition](https://en.wikipedia.org/wiki/Cholesky_decomposition).\n",
    "\n",
    "#### Example:\n",
    "\n",
    "Let us consider the following 2-dimensional covariance matrix:\n",
    "\n",
    "$$ \\Sigma = \\left(\n",
    "\\begin{array}{cc}\n",
    "1    & \\rho   \\\\\n",
    "\\rho & 1      \\\\\n",
    "\\end{array}\n",
    "\\right) $$\n",
    "\n",
    "where for simplicity I chose $Var[Y_1]=Var[Y_2]=1$, such that $\\Sigma$ corresponds to the [correlation matrix](https://en.wikipedia.org/wiki/Correlation_and_dependence#Correlation_matrices).  I also set $\\mu = 0$.\n",
    "\n",
    "In python we can use the built in function `scipy.stats.multivariate_normal` as follows:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "COV: \n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1.0 & 0.6\\\\0.6 & 1.0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1.0  0.6⎤\n",
       "⎢        ⎥\n",
       "⎣0.6  1.0⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "correlation matrix: \n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1.0 & 0.6\\\\0.6 & 1.0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1.0  0.6⎤\n",
       "⎢        ⎥\n",
       "⎣0.6  1.0⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "SIZE = 1000000\n",
    "rho = 0.6\n",
    "\n",
    "MU = np.array([0, 0])\n",
    "COV = np.array([[1, rho], [rho, 1]])\n",
    "print(\"COV: \")\n",
    "display_matrix(COV)\n",
    "\n",
    "Y = ss.multivariate_normal.rvs(mean=MU, cov=COV, size=SIZE)\n",
    "\n",
    "print(\"correlation matrix: \")\n",
    "display_matrix(np.corrcoef(Y.T).round(2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "If we want to use the algorithm proposed above, we have to find the matrix C.\n",
    "\n",
    "In two dimensions it has the simple form:\n",
    "\n",
    "$$ C = \\left(\n",
    "\\begin{array}{cc}\n",
    "1    & 0   \\\\\n",
    "\\rho & \\sqrt{1-\\rho^2}  \\\\\n",
    "\\end{array}\n",
    "\\right). $$\n",
    "\n",
    "By a simple matrix multiplication we can verify that:\n",
    "\n",
    "$$ \\left(\n",
    "\\begin{array}{cc}\n",
    "1    & 0   \\\\\n",
    "\\rho & \\sqrt{1-\\rho^2}  \\\\\n",
    "\\end{array}\n",
    "\\right) \\cdot \n",
    "\\left(\n",
    "\\begin{array}{cc}\n",
    "1    & \\rho  \\\\\n",
    "0 & \\sqrt{1-\\rho^2}  \\\\\n",
    "\\end{array}\n",
    "\\right)\n",
    "= \\left(\n",
    "\\begin{array}{cc}\n",
    "1    & \\rho   \\\\\n",
    "\\rho & 1      \\\\\n",
    "\\end{array}\n",
    "\\right)\n",
    "$$\n",
    "\n",
    "Therefore, in 2 dimensions there is no need to use the Cholesky decomposition. We simply have:\n",
    "\n",
    "$$ \\begin{cases} Y_1 = Z_1 \\\\ Y_2 = \\rho Z_1 + \\sqrt{1-\\rho^2} Z_2  \\end{cases} $$\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "correlation matrix: \n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1.0 & 0.6\\\\0.6 & 1.0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1.0  0.6⎤\n",
       "⎢        ⎥\n",
       "⎣0.6  1.0⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Y_1 = np.random.normal(loc=0, scale=1, size=SIZE)\n",
    "Y_2 = rho * Y_1 + np.sqrt(1 - rho**2) * np.random.normal(loc=0, scale=1, size=SIZE)\n",
    "print(\"correlation matrix: \")\n",
    "display_matrix(np.corrcoef(Y_1, Y_2).round(2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "For higher dimensional problems, the function `scipy.linalg.cholesky` [doc](https://docs.scipy.org/doc/scipy-0.16.1/reference/generated/scipy.linalg.cholesky.html) can help:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Cholesky: \n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1.0 & 0.6\\\\0 & 0.8\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1.0  0.6⎤\n",
       "⎢        ⎥\n",
       "⎣ 0   0.8⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Correlation matrix: \n"
     ]
    },
    {
     "data": {
      "image/png": "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",
      "text/latex": [
       "$\\displaystyle \\left[\\begin{matrix}1.0 & 0.6\\\\0.6 & 1.0\\end{matrix}\\right]$"
      ],
      "text/plain": [
       "⎡1.0  0.6⎤\n",
       "⎢        ⎥\n",
       "⎣0.6  1.0⎦"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "print(\"Cholesky: \")\n",
    "display_matrix(cholesky(COV))\n",
    "print(\"Correlation matrix: \")\n",
    "display_matrix(cholesky(COV, lower=True) @ cholesky(COV))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec2'></a>\n",
    "# Heston model\n",
    "\n",
    "The [Heston process](https://en.wikipedia.org/wiki/Heston_model) is described by the SDE: \n",
    "\n",
    "$$ \\begin{cases}\n",
    "dS_t = \\mu S_t dt + \\sqrt{v_t} S_t dW^1_t \\\\\n",
    "dv_t = \\kappa (\\theta - v_t) dt + \\sigma \\sqrt{v_t} dW^2_t \n",
    "\\end{cases}$$\n",
    "\n",
    "The stock price follows a \"geometric Brownian motion\" with a stochastic volatility. The square of the volatility (the variance) follows a CIR process.     \n",
    "Have a look at the notebook **1.2** for more information on the CIR process.\n",
    "\n",
    "The parameters are:\n",
    "- $\\mu$ drift of the stock process\n",
    "- $\\kappa$ mean reversion coefficient of the variance process\n",
    "- $\\theta$ long term mean of the variance process \n",
    "- $\\sigma$  volatility coefficient of the variance process\n",
    "- $\\rho$ correlation between $W^1$ and $W^2$ i.e.\n",
    "$$ dW^1_t dW^2_t = \\rho dt $$\n",
    "\n",
    "We will also require that $2\\kappa \\theta > \\sigma^2$ (Feller condition)."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Path generation\n",
    "\n",
    "The Heston process can be discretized using the Euler-Maruyama method proposed in the notebook **2.1**.\n",
    "\n",
    "In the next cell I present the algorithm that produces sample paths of the Heston process. In this example, I prefer to use the log-variables $X_t = \\log(S_t)$ and $Y_t = \\log(v_t)$ in order to avoid negative values for the process $\\{v_t\\}_{t\\geq 0}$.    \n",
    "\n",
    "$$ \\begin{cases}\n",
    "dX_t = \\biggl( \\mu - \\frac{1}{2} e^{Y_t} \\biggr) dt + e^{Y_t/2} dW^1_t \\\\\n",
    "dY_t = e^{-Y_t} \\biggl[ \\kappa (\\theta - e^{Y_t}) - \\frac{1}{2}\\sigma^2 \\biggr] dt + \\sigma e^{-Y_t/2} dW^2_t \n",
    "\\end{cases}$$\n",
    "\n",
    "This is an arbitrary choice! \n",
    "\n",
    "**Comment:**         \n",
    "From a theoretical point of view, using log-variables is the best choice, because it avoids negative values without any tweak of the original process.     \n",
    "From the practical point of view, it is better not to use log-variables!    \n",
    "The reason is that the algorithm can produce NaNs or overflows when the time steps are not small enough (e.g. for $N<20000$). This happens quite frequently. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 9.93 s, sys: 32.8 ms, total: 9.96 s\n",
      "Wall time: 10.1 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "np.random.seed(seed=42)\n",
    "\n",
    "N = 1000000  # time steps\n",
    "paths = 3  # number of paths\n",
    "T = 1\n",
    "T_vec, dt = np.linspace(0, T, N, retstep=True)\n",
    "dt_sq = np.sqrt(dt)\n",
    "\n",
    "S0 = 100  # spot price\n",
    "X0 = np.log(S0)  # log price\n",
    "v0 = 0.04  # spot variance\n",
    "Y0 = np.log(v0)  # log-variance\n",
    "\n",
    "mu = 0.1  # drift\n",
    "rho = -0.2  # correlation coefficient\n",
    "kappa = 2  # mean reversion coefficient\n",
    "theta = 0.04  # long-term variance\n",
    "sigma = 0.3  # Vol of Vol - Volatility of instantaneous variance\n",
    "std_asy = np.sqrt(theta * sigma**2 / (2 * kappa))  # asymptotic standard deviation for the CIR process\n",
    "assert 2 * kappa * theta > sigma**2  # Feller condition\n",
    "\n",
    "# Generate random Brownian Motion\n",
    "MU = np.array([0, 0])\n",
    "COV = np.matrix([[1, rho], [rho, 1]])\n",
    "W = ss.multivariate_normal.rvs(mean=MU, cov=COV, size=(N - 1, paths))\n",
    "W_S = W[:, :, 0]  # Stock Brownian motion:     W_1\n",
    "W_v = W[:, :, 1]  # Variance Brownian motion:  W_2\n",
    "\n",
    "# Initialize vectors\n",
    "Y = np.zeros((N, paths))\n",
    "Y[0, :] = Y0\n",
    "X = np.zeros((N, paths))\n",
    "X[0, :] = X0\n",
    "v = np.zeros(N)\n",
    "\n",
    "# Generate paths\n",
    "for t in range(0, N - 1):\n",
    "    v = np.exp(Y[t, :])  # variance\n",
    "    v_sq = np.sqrt(v)  # square root of variance\n",
    "\n",
    "    Y[t + 1, :] = (\n",
    "        Y[t, :] + (1 / v) * (kappa * (theta - v) - 0.5 * sigma**2) * dt + sigma * (1 / v_sq) * dt_sq * W_v[t, :]\n",
    "    )\n",
    "    X[t + 1, :] = X[t, :] + (mu - 0.5 * v) * dt + v_sq * dt_sq * W_S[t, :]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(16, 5))\n",
    "ax1 = fig.add_subplot(121)\n",
    "ax2 = fig.add_subplot(122)\n",
    "\n",
    "ax1.plot(T_vec, np.exp(X))\n",
    "ax1.set_title(\"Heston model, Stock process. 3 paths\")\n",
    "ax1.set_xlabel(\"Time\")\n",
    "ax1.set_ylabel(\"Stock\")\n",
    "ax2.plot(T_vec, np.exp(Y))\n",
    "ax2.set_title(\"Heston model, Variance process. 3 paths\")\n",
    "ax2.set_xlabel(\"Time\")\n",
    "ax2.set_ylabel(\"Variance\")\n",
    "ax2.plot(T_vec, (theta + std_asy) * np.ones_like(T_vec), label=\"1 asymptotic std dev\", color=\"black\")\n",
    "ax2.plot(T_vec, (theta - std_asy) * np.ones_like(T_vec), color=\"black\")\n",
    "ax2.plot(T_vec, theta * np.ones_like(T_vec), label=\"Long term mean\")\n",
    "ax2.legend(loc=\"upper right\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec2.1'></a>\n",
    "# Distribution of log-returns\n",
    "\n",
    "The python code presented above is very slow when we want to generate a big number of paths.    \n",
    "For this reason I implemented it in Cython. \n",
    "\n",
    "For a short introduction to Cython, have a look at the notebook **A2**.     \n",
    "This is the [Cython code](./functions/cython/cython_Heston.pyx), that makes also use of some C functions.\n",
    "\n",
    "\n",
    "##### CYTHON implementation\n",
    "\n",
    "1) The function `Heston_paths_log` contains the code presented above, but translated in Cython.      \n",
    "   The code returns only the \"good\" paths. It means that if there are overflows, they are ignored.     \n",
    "   Since this method returns a \"random\" number of paths, I will prefer to use the next method.\n",
    "\n",
    "2) The function `Heston_paths` implements the discretization of the original process $(S_t,v_t)_{t\\geq 0}$.\n",
    "   The CIR process is discretized using the method (4) presented in the notebook **1.2** i.e. by taking the absolute value of the variance at each time step.\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I import the following cython functions:\n",
    "```python\n",
    "from FMNM.cython.cython_Heston import Heston_paths_log, Heston_paths\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let us re-define the parameters of the process, together with the parameters of the CIR density."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "mu = 0.1  # drift\n",
    "rho = -0.9  # correlation coefficient\n",
    "kappa = 2  # mean reversion coefficient\n",
    "theta = 0.04  # long-term mean of the variance\n",
    "sigma = 0.3  # (Vol of Vol) - Volatility of instantaneous variance\n",
    "T = 1  # Terminal time\n",
    "v0 = 0.04  # spot variance\n",
    "S0 = 100  # spot stock price\n",
    "\n",
    "c = 2 * kappa / ((1 - np.exp(-kappa * T)) * sigma**2)\n",
    "df = 4 * kappa * theta / sigma**2  # degrees of freedom\n",
    "nc = 2 * c * v0 * np.exp(-kappa * T)  # non-centrality parameter"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The next cell just wants to check if there are overflows for small value of $N$ (big time steps)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "WARNING.  8  paths have been removed because of the overflow.\n",
      "SOLUTION: Use a bigger value N.\n"
     ]
    }
   ],
   "source": [
    "_, _ = Heston_paths_log(N=500, paths=20000, T=T, S0=S0, v0=v0, mu=mu, rho=rho, kappa=kappa, theta=theta, sigma=sigma)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "OK.... now we are going to use the other function:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 16.4 s, sys: 53.4 ms, total: 16.4 s\n",
      "Wall time: 16.6 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "S, V = Heston_paths(N=20000, paths=20000, T=T, S0=S0, v0=v0, mu=mu, rho=rho, kappa=kappa, theta=theta, sigma=sigma)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "log_R = np.log(S / S0)\n",
    "x = np.linspace(log_R.min(), log_R.max(), 500)\n",
    "y = np.linspace(0.00001, 0.3, 500)\n",
    "\n",
    "fig = plt.figure(figsize=(16, 5))\n",
    "ax1 = fig.add_subplot(121)\n",
    "ax2 = fig.add_subplot(122)\n",
    "\n",
    "ax1.plot(y, ss.ncx2.pdf(y, df, nc, scale=1 / (2 * c)), color=\"green\", label=\"non-central-chi-squared\")\n",
    "ax1.hist(V, density=True, bins=100, facecolor=\"LightBlue\", label=\"frequencies of v_T\")\n",
    "ax1.legend()\n",
    "ax1.set_title(\"Histogram vs CIR distribution\")\n",
    "ax1.set_xlabel(\"v_T\")\n",
    "\n",
    "ax2.plot(x, ss.norm.pdf(x, log_R.mean(), log_R.std(ddof=0)), color=\"r\", label=\"Normal density\")\n",
    "ax2.hist(log_R, density=True, bins=100, facecolor=\"LightBlue\", label=\"frequencies of log-returns\")\n",
    "ax2.legend()\n",
    "ax2.set_title(\"Histogram vs log-returns distribution\")\n",
    "ax2.set_xlabel(\"log(S_T/S0)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "qqplot(log_R, line=\"s\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "**The distribution of the log-returns is far from being normal!!**    \n",
    "(as you can see also from the q-q plot)\n",
    "\n",
    "This is a good property, because we can describe better the features of the empirical distributions obtained from market data!\n",
    "\n",
    "You can play with the correlation parameter $\\rho$ in order to obtain different skewness values.\n",
    "\n",
    "- For negative $\\rho$, we generate a log-return distribution with negative skewness.\n",
    "- For positive $\\rho$, we generate a log-return distribution with positive skewness."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 16.4 s, sys: 72.9 ms, total: 16.5 s\n",
      "Wall time: 16.7 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "S2, _ = Heston_paths(N=20000, paths=20000, T=T, S0=S0, v0=v0, mu=mu, rho=0.9, kappa=kappa, theta=theta, sigma=sigma)\n",
    "log_R2 = np.log(S2 / S0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1600x500 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.linspace(-1, 1, 70)\n",
    "\n",
    "fig = plt.figure(figsize=(16, 5))\n",
    "ax1 = fig.add_subplot(121)\n",
    "ax2 = fig.add_subplot(122)\n",
    "\n",
    "ax1.plot(\n",
    "    x,\n",
    "    [Heston_pdf(i, t=T, v0=v0, mu=mu, theta=theta, sigma=sigma, kappa=kappa, rho=0.9) for i in x],\n",
    "    color=\"blue\",\n",
    "    label=\"Heston density\",\n",
    ")\n",
    "ax1.plot(x, ss.norm.pdf(x, log_R2.mean(), log_R2.std(ddof=0)), color=\"r\", label=\"Normal density\")\n",
    "ax1.hist(log_R2, density=True, bins=100, facecolor=\"LightBlue\", label=\"frequencies of R_T\")\n",
    "ax1.legend()\n",
    "ax1.set_title(\"Histogram vs log-returns, Positive skew\")\n",
    "ax1.set_xlabel(\"log(S_T/S0)\")\n",
    "\n",
    "ax2.plot(\n",
    "    x,\n",
    "    [Heston_pdf(i, t=T, v0=v0, mu=mu, theta=theta, sigma=sigma, kappa=kappa, rho=-0.9) for i in x],\n",
    "    color=\"blue\",\n",
    "    label=\"Heston density\",\n",
    ")\n",
    "ax2.plot(x, ss.norm.pdf(x, log_R.mean(), log_R.std(ddof=0)), color=\"r\", label=\"Normal density\")\n",
    "ax2.hist(log_R, density=True, bins=100, facecolor=\"LightBlue\", label=\"frequencies of R_T\")\n",
    "ax2.legend(loc=\"upper left\")\n",
    "ax2.set_title(\"Histogram vs log-returns, Negative skew\")\n",
    "ax2.set_xlabel(\"log(S_T/S0)\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The skewness for rho= -0.9 is:  -1.1550880187314136\n",
      "The skewness for rho= +0.9 is:  1.1820448066432543\n"
     ]
    }
   ],
   "source": [
    "print(\"The skewness for rho= -0.9 is: \", ss.skew(log_R))\n",
    "print(\"The skewness for rho= +0.9 is: \", ss.skew(log_R2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the pictures above we can see the difference between the Normal distribution and the Heston distribution!\n",
    "\n",
    "I used the function `Heston_pdf`, which implements the Fourier inversion of the Heston characteristic function using the Gil-Pelaez formula.     \n",
    "\n",
    "For more information on Fourier inversion see the notebook **1.3**. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec3'></a>\n",
    "# Characteristic function\n",
    "\n",
    "The characteristic function (CF) for the Heston model was presented for the first time in the original paper of Heston (1993) [1].    \n",
    "\n",
    "The Heston CF is very useful for the computation of option prices. All the other methods, such as Monte Carlo or PDE, are quite slow, while Fourier inversion (as we have seen in the notebook **1.3**) is super fast!\n",
    "\n",
    "##### Issue with the Heston CF\n",
    "\n",
    "The Heston CF works well for short time $T$.    \n",
    "However, when the time increases this CF exhibits discontinuities due to the multivalued complex functions (the complex square root and the complex logarithm need to have a specified [Principal brach](https://en.wikipedia.org/wiki/Principal_branch)).\n",
    "A consequence is that the numerical integration becomes unstable.\n",
    "\n",
    "In the important articles [2] and [3], different (but equivalent) forms of the Heston CF are presented. These CFs consider different [Riemann surfaces](https://en.wikipedia.org/wiki/Riemann_surface) and resolve the problem.\n",
    "\n",
    "In the following I will show how the CF proposed by Schoutens (in [2]) performs better than the Heston CF.     \n",
    "In these notebooks, all the functions that consider the Heston CF are implemented using the CF `cf_Heston_good` proposed by Schoutens."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "r = 0.05  # drift\n",
    "rho = -0.8  # correlation coefficient\n",
    "kappa = 3  # mean reversion coefficient\n",
    "theta = 0.1  # long-term mean of the variance\n",
    "sigma = 0.25  # (Vol of Vol) - Volatility of instantaneous variance\n",
    "T = 15  # Terminal time\n",
    "K = 100  # Stike\n",
    "v0 = 0.08  # spot variance\n",
    "S0 = 100  # spot stock price\n",
    "k = np.log(K / S0)  # log moneyness"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "def cf_Heston(u, t, v0, mu, kappa, theta, sigma, rho):\n",
    "    \"\"\"\n",
    "    Heston characteristic function as proposed in the original paper of Heston (1993)\n",
    "    \"\"\"\n",
    "    xi = kappa - sigma * rho * u * 1j\n",
    "    d = np.sqrt(xi**2 + sigma**2 * (u**2 + 1j * u))\n",
    "    g1 = (xi + d) / (xi - d)\n",
    "    cf = np.exp(\n",
    "        1j * u * mu * t\n",
    "        + (kappa * theta) / (sigma**2) * ((xi + d) * t - 2 * np.log((1 - g1 * np.exp(d * t)) / (1 - g1)))\n",
    "        + (v0 / sigma**2) * (xi + d) * (1 - np.exp(d * t)) / (1 - g1 * np.exp(d * t))\n",
    "    )\n",
    "    return cf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def cf_Heston_good(u, t, v0, mu, kappa, theta, sigma, rho):\n",
    "    \"\"\"\n",
    "    Heston characteristic function as proposed by Schoutens (2004)\n",
    "    \"\"\"\n",
    "    xi = kappa - sigma * rho * u * 1j\n",
    "    d = np.sqrt(xi**2 + sigma**2 * (u**2 + 1j * u))\n",
    "    g1 = (xi + d) / (xi - d)\n",
    "    g2 = 1 / g1\n",
    "    cf = np.exp(\n",
    "        1j * u * mu * t\n",
    "        + (kappa * theta) / (sigma**2) * ((xi - d) * t - 2 * np.log((1 - g2 * np.exp(-d * t)) / (1 - g2)))\n",
    "        + (v0 / sigma**2) * (xi - d) * (1 - np.exp(-d * t)) / (1 - g2 * np.exp(-d * t))\n",
    "    )\n",
    "    return cf"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "cf_H_b = partial(cf_Heston, t=T, v0=v0, mu=r, theta=theta, sigma=sigma, kappa=kappa, rho=rho)\n",
    "cf_H_b_good = partial(cf_Heston_good, t=T, v0=v0, mu=r, theta=theta, sigma=sigma, kappa=kappa, rho=rho)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1200x500 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "u = np.linspace(-4, 4, 100)\n",
    "\n",
    "plt.figure(figsize=(12, 5))\n",
    "plt.plot(u, np.real(cf_H_b(u)), label=\"Heston CF\")\n",
    "plt.plot(u, np.real(cf_H_b_good(u)), label=\"Schoutens CF\")\n",
    "plt.title(\"Comparison of stable and instable Heston characteristic functions\")\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<a id='sec3.1'></a>\n",
    "## Option pricing\n",
    "\n",
    "We can compare the values of an European call option computed with the following two pricing methods: \n",
    "\n",
    "(as usual we consider the parameters defined above as the *risk neutral* parameters)\n",
    "\n",
    "##### Monte Carlo"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Heston Monte Carlo call price:  64.8311510602247\n",
      "With standard error:  1.1100688417854097\n",
      "-----------------------------------\n",
      "CPU times: user 16.4 s, sys: 668 ms, total: 17 s\n",
      "Wall time: 17.3 s\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "S, v = Heston_paths(N=20000, paths=20000, T=T, S0=S0, v0=v0, mu=r, rho=rho, kappa=kappa, theta=theta, sigma=sigma)\n",
    "DiscountedPayoff = np.exp(-r * T) * np.maximum(S - K, 0)\n",
    "V = np.mean(DiscountedPayoff)\n",
    "std_err = ss.sem(DiscountedPayoff)\n",
    "print(\"Heston Monte Carlo call price: \", V)\n",
    "print(\"With standard error: \", std_err)\n",
    "print(\"-----------------------------------\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Fourier inversion"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Heston Fourier inversion call price:  65.27786862734644\n",
      "-----------------------------------\n",
      "CPU times: user 5.64 ms, sys: 174 µs, total: 5.81 ms\n",
      "Wall time: 6.57 ms\n"
     ]
    }
   ],
   "source": [
    "%%time\n",
    "limit_max = 1000  # right limit in the integration\n",
    "call = S0 * Q1(k, cf_H_b_good, limit_max) - K * np.exp(-r * T) * Q2(k, cf_H_b_good, limit_max)\n",
    "print(\"Heston Fourier inversion call price: \", call)\n",
    "print(\"-----------------------------------\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## References\n",
    "\n",
    "[1] Heston, S. L. (1993). \"A closed-form solution for options with stochastic volatility and applications to bond and currency options\". Review of Financial Studies\n",
    "\n",
    "[2] Schoutens, W., Simons, E., & Tistaert, J. (2004). \"A perfect calibration! Now what?\". Wilmott Magazine\n",
    "[link](https://perswww.kuleuven.be/~u0009713/ScSiTi03.pdf)\n",
    "\n",
    "[3] Yiran Cui, Sebastian del Baño Rollin, Guido Germano, (2017), \"Full and fast calibration of the Heston stochastic volatility model\" European Journal of operational research. [link](http://www0.cs.ucl.ac.uk/staff/g.germano/papers/EurJOperRes_2017.pdf)"
   ]
  }
 ],
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   "language": "python",
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